Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method

Yasuk F., Berkdemır C., Berkdemir A.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.38, no.29, pp.6579-6586, 2005 (SCI-Expanded) identifier identifier


The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov-Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.